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Finding the Fourth Proportional to 307,049.46, 460,510.67 and 82,356.43

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Solution

The fourth proportional to 307,049.46, 460,510.67 and 82,356.43 is: 123,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,049.46 : 460,510.67 = 82,356.43 : x
  2. Step 2: Convert to fraction form
    307,049.46/460,510.67 = 82,356.43/x
  3. Step 3: Cross multiply
    307,049.46x = 460,510.67 × 82,356.43
  4. Step 4: Simplify right side
    307,049.46x = 37,926,016,155.70
  5. Step 5: Solve for x
    x = 37,926,016,155.70/307,049.46
  6. Step 6: Final answer
    x = 123,517.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.